# gompertz

From IBMPopSim v0.3.0
by Daphnc3 Giorgi

##### Gompertz<U+2013>Makeham intensity function.

The intensity function (or hazard function) for the Gompertz-Makeham law of mortality distribution is defined as $$h(x) = \alpha e^{\beta x} + \lambda$$ with \(\alpha, \beta, \lambda \in {R}_+\).

##### Usage

`gompertz(alpha, beta, lambda = 0)`

##### Arguments

- alpha
Non-negative real parameter.

- beta
Non-negative real parameter.

- lambda
Non-negative real parameter.

##### Details

A C++ version of this function is available. See `vignette('IBMPopSim_cpp')`

for more details.

##### Value

Function which associes `x`

to \(\alpha exp(\beta x) + \lambda\).

##### See Also

https://en.wikipedia.org/wiki/Gompertz%E2%80%93Makeham_law_of_mortality

*Documentation reproduced from package IBMPopSim, version 0.3.0, License: MIT + file LICENSE*

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